Question

( a + b ) ( c - d ) + ( a - b ) ( c - d ) + 2 ( ac - bd ) + 4b ( a + c) who will give right solution with right answer will mark as brainliest​

Answer 1

Answer:

4ab+4ac+−2ad+4bc+−2bd

Step-by-step explanation:

Let's simplify step-by-step.

(a+b)(c−d)+(a−b)(c−d)+2(ac−bd)+4b(a+c)

Distribute:

=(a)(c)+(a)(−d)+(b)(c)+(b)(−d)+(a)(c)+(a)(−d)+(−b)(c)+(−b)(−d)+(2)(ac)+(2)(−bd)+(4b)(a)+(4b)(c)

=ac+−ad+bc+−bd+ac+−ad+−bc+bd+2ac+−2bd+4ab+4bc

Combine Like Terms:

=ac+−ad+bc+−bd+ac+−ad+−bc+bd+2ac+−2bd+4ab+4bc

=(4ab)+(ac+ac+2ac)+(−ad+−ad)+(bc+−bc+4bc)+(−bd+bd+−2bd)

=4ab+4ac+−2ad+4bc+−2bd

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